Theorems · Theorem · real analysis
Real.HolderTriple.inv_nonneg
∀ {p q r : ℝ}, p.HolderTriple q r → 0 ≤ p⁻¹- Defined in
- Mathlib.Data.Real.ConjExponents
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- LT.lt.leproof · cited by 2,189
- Real.HolderTriplestatement and proof · cited by 53
- Real.HolderTriple.inv_posproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Real.young_inequality_of_nonnegproof · cited by 2
- Real.HolderConjugate.inv_add_inv_ennrealproof · cited by 1
- Real.young_inequality_eq_iff_of_nonnegproof · cited by 1